On good \((p,r)\)-filtrations for rational \(G\)-modules.

DOI10.1016/J.JALGEBRA.2014.09.030zbMath1312.20039arXiv1403.7011OpenAlexW2962747667MaRDI QIDQ479776

Daniel K. Nakano, Tobias Kildetoft

Publication date: 5 December 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7011

zbMATH Keywords

algebraic groupstensor productssimple modulesgood filtrationsmodular representation theorySteinberg modulefinite dimensional modulesdominant weights

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Cohomology of groups (20J06) Cohomology theory for linear algebraic groups (20G10)

Related Items (6)

On Donkin’s tilting module conjecture I: lowering the prime ⋮ Decomposition of tensor products involving a Steinberg module ⋮ On (𝑝,𝑟)-filtrations and tilting modules ⋮ Counterexamples to the tilting and \((p,r)\)-filtration conjectures ⋮ On tensoring with the Steinberg representation ⋮ \(p\)-filtrations of dual Weyl modules

Cites Work

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• A filtration for rational modules
• Infinitesimal fixed points in modules with good filtration
• On tilting modules for algebraic groups
• Tensor products of modules with restricted highest weight
• Filtrations of $G$-modules
• On p -filtrations of Weyl modules
• \(p\)-filtrations and the Steinberg module

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